Kiran earns $8.50 per hour.
Let x represent Kiran's pay. He worked 23 hours last week, so his pay would be given by 23x.
Kiran's cousin is paid 30% more. 30% = 30/100 = 0.3. We add this to the x per hour that Kiran is paid:
x + 0.3x = 1.3x
This is multiplied by 27, since Kiran's cousin works 27 hours:
27(1.3x)
This gives us the following equation:
23x + 27(1.3x) = 493.85
23x + 35.1x = 493.85
58.1x = 493.85
Divide both sides by 58.1:
58.1x/58.1 = 493.85/58.1
x = 8.5
Thus Kiran earns 8.50 per hour.
Answer:
49243
Step-by-step explanation:
Given that the population of rabbits on an island is growing exponentially.
Let the population, 
where,
and b are constants, t=(Current year -1994) is the time in years from 1994.
In 1994, t=0, the population of rabbit, P=9600, so

So, 
and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400



b=0.109
On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

In 2009, t= 2009-1994=15 years,
So, the population of the rabbit in 2009

Hence, the population of the rabbit in 2009 is 49243.
Answer:
1) The solution to the given equations is (3,6)
2) The solution to the given equations is (7,-1)
3) The solution to the given equations is (6,5)
Step-by-step explanation:
1) Given equations are 
and 
To solve the given equations by substitution method :
From equation (2) we have the value x=1+y
Substitute the value of x=1+y in equation (1) we get
(1+y)+y=5
1+y+y=5
1+2y=5
2y=5-1
2y=4

Therefore y=2
Now substitute the value of y=2 in equation (2) we get
x=1+y
x=1+2
Therefore x=3
The solution is (3,6)
2) Given equations are 
and 
To solve the given equations by substitution method :
From equation (2) we have the value x=6-y
Substitute the value of x=6-y in equation (1) we get
2(6-y)+3y=11
12-2y+3y=11
y=11-12
Therefore y=-1
Now substitute the value of y=-1 in equation (2) we get
x+(-1)=6
x=6+1
Therefore x=7
The solution is (7,-1)
3) Given equations are 
and 
To solve the given equations by substitution method :
From equation (1) we have the value x=1+y
Substitute the value of x=1+y in equation (2) we get
6(1+y)-7y=1
6+6y-7y=1
-y=1-6
Therefore y=5
Now substitute the value of y=5 in equation (1) we get
x-5=1
x=1+5
Therefore x=6
The solution is (6,5)
Answer:
i Think its 1
Step-by-step explanation: